KUET Institutional Repository
Approximate Analytic Solutions of the Nonlinear Cubic Oscillator by Iterative Method
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| dc.contributor.advisor | Haque, Dr. B. M. Ikramul | |
| dc.contributor.author | Rahman, Md. Mominur | |
| dc.date.accessioned | 2018-08-08T06:05:32Z | |
| dc.date.available | 2018-08-08T06:05:32Z | |
| dc.date.copyright | 2016 | |
| dc.date.issued | 2016-11 | |
| dc.identifier.other | ID 0000000 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12228/192 | |
| dc.description | This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Mathematics, November 2016. | en_US |
| dc.description | Cataloged from PDF Version of Thesis. | |
| dc.description | Includes bibliographical references (pages 42-46). | |
| dc.description.abstract | A modified approximate analytic solution of the cubic nonlinear oscillator “ẍ + x3 = 0" has been obtained based on an iteration method. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our fifth approximate frequency is as low as 0.009%. The calculation with this technique is very easy. The modified technique accelerates the rapid convergence of the solution, reduces the error solution and increases the validity range. | en_US |
| dc.description.statementofresponsibility | Md. Mominur Rahman | |
| dc.format.extent | 46 pages | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh | en_US |
| dc.rights | Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. | |
| dc.subject | Cubic Nonlinear Oscillator | en_US |
| dc.subject | Iterative Method | en_US |
| dc.subject | Fourier Series | en_US |
| dc.title | Approximate Analytic Solutions of the Nonlinear Cubic Oscillator by Iterative Method | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Master of Science in Mathematics | |
| dc.contributor.department | Department of Mathematics |
